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137499880 = 2357231273
BaseRepresentation
bin10000011001000…
…01010011101000
3100120201201101011
420030201103220
5240144444010
621351033304
73256505200
oct1014412350
9316651334
10137499880
1170684771
123a06b834
132264339b
1414393400
15c110a8a
hex83214e8

137499880 has 144 divisors (see below), whose sum is σ = 376962660. Its totient is φ = 44997120.

The previous prime is 137499871. The next prime is 137499907. The reversal of 137499880 is 88994731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 137311524 + 188356 = 11718^2 + 434^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1883524 + ... + 1883596.

Almost surely, 2137499880 is an apocalyptic number.

137499880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137499880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188481330).

137499880 is an abundant number, since it is smaller than the sum of its proper divisors (239462780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137499880 is a wasteful number, since it uses less digits than its factorization.

137499880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 137499880 is about 11726.0342827403. The cubic root of 137499880 is about 516.1399075783.

The spelling of 137499880 in words is "one hundred thirty-seven million, four hundred ninety-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 73 98 124 140 146 155 196 217 245 248 280 292 310 365 392 434 490 511 584 620 730 868 961 980 1022 1085 1240 1460 1519 1736 1922 1960 2044 2170 2263 2555 2920 3038 3577 3844 4088 4340 4526 4805 5110 6076 6727 7154 7595 7688 8680 9052 9610 10220 11315 12152 13454 14308 15190 15841 17885 18104 19220 20440 22630 26908 28616 30380 31682 33635 35770 38440 45260 47089 53816 60760 63364 67270 70153 71540 79205 90520 94178 110887 126728 134540 140306 143080 158410 188356 221774 235445 269080 280612 316820 350765 376712 443548 470890 491071 554435 561224 633640 701530 887096 941780 982142 1108870 1403060 1883560 1964284 2217740 2455355 2806120 3437497 3928568 4435480 4910710 6874994 9821420 13749988 17187485 19642840 27499976 34374970 68749940 137499880